Answer:
y + 4 ≥ 25
if y is increased by 4 and is at least 25
A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x +
b form a system of linear equations with infinitely many solutions?
b= -8
b=-4
b = 2
b= 6
Answer:
The answer A) b=-8
Step-by-step explanation:
Answer:
b = -8
Step-by-step explanation:
How do you divide a decimal by a whole fraction
Answer
wherever the decimal is, put it directly on top of the dividing line thing. Now that the decimal looks like a regular whole number you can divide like you usually would. Whenever you do regular long division, your answer is always going to be on the top of the line. Your answer should have a decimal in it ... and that should be your answer.
1. What is the solution to the equation -5(s - 30) = -10?
Answer:
s = 32
Step-by-step explanation:
-5(s - 30) = -10
-5s + 150 = -10
-5s = -10 - 150
-5s = -160
s = -160/-5
s = 32
does anyone know the answer ?
Answer:
15.7cm
Step-by-step explanation:
2 + 1.4 + 1.3 + 1.2 + 4.1 + 1.3 + 1.4 + 3
What is the degree of the polynomial below?
2х^2 + 3x +1
Answer:
the degree for the polynomial is 2
Jeannie needs 2 cups of milk to make her homemade brownies. How many fluid ounces does Jeannie need?
Answer:
16 fluid ounces=2 cups
Hope this helps!
Step-by-step explanation:
Answer:
16 fluid ounces
Step-by-step explanation:
1 cup is equal to 8 fluid ounces, so 2 cups is 16 fluid ounces.
8 1/9-6 7/9
Show how you got the answer
Answer:
7 10/9 - 6 7/9
1 4/9
Step-by-step explanation:
the denominator stays the same
Change the FIRST fraction to an improper mixed fraction
then keep the denominators the same and subtract the numerators
subtract the whole numbers
Due to a slump in the economy a mutual fund has dropped by 30% from last year to this year. If the fund is now worth $13,902, how much was the fund last year?
Answer: The Fund last year was 19,860
Step-by-step explanation:
Just set up a ratio using 70 over 13902 and set it equal to 100 over x and cross multiply to get x = 19,860
Mofor’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 6 student tickets for a total of $96. The school took in $202 on the second day by selling 8 senior citizen tickets and 13 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
Answer:
Senior citizen tickets = 9
Student tickets = 10
Step-by-step explanation:
We begin by converting the question into simultaneous linear equations;
Senior citizen tickets = a
Student tickets = b
4a + 6b = 96
8a + 13b = 202
to find a,
if 4a +6b = 96
a = 96/4 - 6b/4
a = 24 - 1.5b
We now substitute this into the second equation
8(24 - 1.5b) + 13b = 202
192 - 12b + 13b = 202
b = 202 - 192
b = 10
We now put the value of b in either equation
4a + 6b = 96
4a + 6(10) = 96
4a + 60 = 96
4a = 96 - 60
4a = 36
a = 9
Which of the following pairs of numbers contain like fractions?
6/7 and 1 5/7
3/2 and 2/3
5/6 and 10/12
3 1/2 and 4 3/4
Answer:
6/7 and 1 5/7
Step-by-step explanation:
Answer:
6/7 and 1 5/7
5/6 and 10/12= 5/6
What is the measurement of Complement of 33°
Answer:
The complement of 33 is the angle that when added to 33 forms a right angle
Step-by-step explanation:
it is un needed for a explanation
The area of a right triangle is 315 square meters. The height of the right triangle is 15 meters. What is the length of the hypotenuse of the right triangle rounded to the nearest meter? No points given without showing your work.
Answer:
45 metres
Step-by-step explanation:
You have to get the base to answer the question.
Do this by dividing 315 by 15 then timesing by 2
You get 42.
Do 42^2 = 1764
Do 15 ^2 = 225
Because you want the hypotenuse you add them
1764 + 225 =1989
Do the square root of 1989 which is 45 to the nearest metre
Answer:
25.80
Step-by-step explanation:
Area = 315 [tex]m^{2}[/tex]
Area = l*b
315 = 15 *b
b= 315/15
b = 21
From Right angled Triangle ,
Hypotenuse square = side square + side square
[tex]x^{2}[/tex] = [tex]21^{2}[/tex] + [tex]15^{2}[/tex]
[tex]x^{2}[/tex] = 441 + 225
[tex]x^{2}[/tex] = 666
apply sq root on both sides, the we get
[tex]\sqrt{x^{2}} = \sqrt{666}[/tex]
x= 25.80
What is the value of y if formula is 4/5
Step-by-step explanation:
The complete question:
What is the value of y in the formula shown when x = [tex]\dfrac{4}{5}[/tex] ?
[tex]y=\dfrac{4}{x}+\sqrt{x+0.2}-5x[/tex]
We have,
[tex]\dfrac{4}{x}+\sqrt{x+0.2}-5x[/tex] ...... (1)
To find, the value of y = ?
Put x = [tex]\dfrac{4}{5}[/tex] in equation (1), we get
[tex]y=\dfrac{4}{\dfrac{4}{5}}+\sqrt{\dfrac{4}{5}+0.2}-5(\dfrac{4}{5})[/tex]
[tex]=5+\sqrt{0.8+0.2}-4[/tex]
[tex]=1+\sqrt{1}[/tex]
= 1 + 1
= 2
Thus, the value of y is equal to 2.
Joe's annual income has been increasing in the same dollar amount. The first year his income was $15,200, and the 4th year his income was $17,900. In which year was his income $19,700?
Answer:
Therefore 6th year his income was $19,700.
Step-by-step explanation:
Given, Joe's annual income has been increasing in some dollar amount . The first year his income was $15,200 and 4th year his income was $17,900.
A=$17900, P= $15,200 and n = 3 year
[tex]A= P(1+\frac{r}{100} )^n[/tex]
[tex]\Leftrightarrow 17900=15200(1+\frac{r}{100})^3[/tex]
[tex]\Leftrightarrow (1+\frac{r}{100})^3=\frac{17900}{15200}[/tex]
[tex]\Leftrightarrow (1+\frac{r}{100})=(\frac{17900}{15200})^{\frac{1}{3} }[/tex]
[tex]\Leftrightarrow \frac{r}{100}=(\frac{17900}{15200})^{\frac{1}{3} }-1[/tex]
[tex]\Leftrightarrow r=5.60[/tex]
Let [tex]t^{th}[/tex] year Joe's income was $19,700.
[tex]\therefore 19700=15,200(1+\frac{5.60}{100} )^{t-1}[/tex]
[tex]\Leftrightarrow 1.296= (1+0.056)^{t-1}[/tex]
[tex]\Leftrightarrow 1.296= (1.056)^{t-1}[/tex]
[tex]\Leftrightarrow log(1.296)= (t-1)log(1.056)[/tex]
[tex]\Leftrightarrow \frac{log(1.296)}{log(1.056)}= (t-1)[/tex]
[tex]\Leftrightarrow t-1= 4.75[/tex]
[tex]\Leftrightarrow t= 4.75+1[/tex]
[tex]\Leftrightarrow t = 5.75[/tex] ≈6
Therefore 6th year his income was $19,700.
a recycling plant processes an average of 1/3 ton of glass each minute.At approximately what rate does the recycling plant process glass,in tons per day?
Answer:
480 tons
Step-by-step explanation: You have to figure out how many minutes are in 24 hours. (1440 min) Then, you multiply 1440 x 1/3.
Answer:
the answer is 480
Step-by-step explanation:
it is common sense but in your case it is uncommon sense
160 dogs,there are 17 trucks each truck can hold 9 dogs.how much trucks you will need to hold 9 dogs in each truck?
Answer:
160-153=7 dogs
you will need 1 more truck to hold 160 dogs
Step-by-step explanation:
1 truck=9 dogs
9x17=153 dogs
160-153=7 dogs
you will need 1 more truck to hold 160 dogs
Sidneys made $38 more than 3 times Casey’s weekly salary. If x represents Casey’s weekly salary , write an expression for sidneys weekly salary
y=3x+38 is the expression for Sidney's weekly salary.
Step-by-step explanation:
Given,
Casey's weekly salary = x
Let,
y be the weekly salary of Sidney's.
According to given statement;
Sidney makes $38 more than 3 times Casey's weekly salary.
Sidney's weekly salary = 3 times Casey's weekly salary + $38
[tex]y=3x+38[/tex]
y=3x+38 is the expression for Sidney's weekly salary.
Keywords: variable, addition
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What is the answer to 5(1 + 5n)
Answer: 5 + 25n
Explanation: Let's simplify this problem using the distributive property.
In this problem, the 5 "distributes" through the parentheses which means that it multiplies by each of the terms inside.
So we have 5(1) + 5(5n) which simplifies to 5 + 25n.
Is y=15/x a linear function
Answer:
NO
Step-by-step explanation:
The equation y = 15/x is not a linear function. A linear process follows the form y = a + bx and graph as a straight line. The given equation doesn't track that form or behavior; hence, it is not linear.
Explanation:No, the equation y = 15/x is not a linear function. In Mathematics, a linear function is defined by the equation y = a + bx, where a is the y-intercept, b is the slope, x is the independent variable, and y is the dependent variable. In this equation, the relationship between x and y is direct, meaning if x increases or decreases, y will also increase or decrease at a constant rate.
However, in the equation y = 15/x, the relationship between x and y is inverse. If x increases, y decreases, and vice versa. Furthermore, the form of the equation doesn't follow the standard form of a linear equation (y = a + bx) because the x variable is in the denominator. Therefore, it is not linear because it will not graph as a straight line.
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Reflecting the graph of y = sinx across the y-axis is the same as reflecting it across
the x-axis.
Answer:
The statement is true.
Step-by-step explanation:
Given : Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis.
To find : Is this statement true or false?
Solution:
Rules of reflection :
Along across y-axis if we have a point
So, y=sinx
The reflection across y-axis→ .......[1]
Along across x-axis if we have a point
so, y=sinx
The reflection across x-axis → .....[2]
Hence, [1] and [2] both of them are equal
Therefore, the statement is true.
Answer:
The answer is true for A P E X
Step-by-step explanation:
Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.
+
m
Simplified expression for total amount spent is 10(2.05 + m)
Step-by-step explanation:
Step 1: Write expression for expense on joining cooking club for m months.Expense = 8.50 + 6.25 × m
Step 2: Write expression for expense on joining movie club for m months.Expense = 12 + 3.75 × m
Step 3: Calculate the total amount spent on both clubsTotal Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)
Sabra spends a total amount represented by the simplified expression 20.50 + 10m after m months on both the cooking and movie clubs.
To find the total amount of money Sabra spends on both clubs after m months, we need to consider the costs of joining each club and the ongoing monthly fees.
Sabra's cooking club costs $8.50 to join and $6.25 per month. This can be represented by the expression:
8.50 + 6.25mSabra's movie club costs $12 to join and $3.75 per month. This can be represented by the expression:
12 + 3.75mTo find the total amount spent on both clubs, we sum these expressions:
(8.50 + 6.25m) + (12 + 3.75m)Simplifying this expression, we get:20.50 + 10mSo, the total amount of money Sabra spends on both clubs after m months can be expressed as 20.50 + 10m
From a group of 5 candidates, an environmental committee of 3 people is selected. How many different committees are possible?
Therefore possible committees are [tex]^5C_3[/tex] =10
Step-by-step explanation:
Given , from a group of 5 candidates , an environmental committee of 3 people is selected.
Therefore possible committees are [tex]^5C_3[/tex] =10
What is the equation of a line through the points (0, 9) and (3, 0)?
because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9 because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 3 because m = StartFraction 3 minus 0 Over 0 minus 9 EndFraction; y = negative one-third x + 9
because m = StartFraction 3 minus 0 Over 0 minus 9 EndFraction; y = negative one-third x + 3 Mark
Answer:
m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9
Step-by-step explanation:
The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.
x/(x-intercept) +y/(y-intercept) = 1
x/3 +y/9 = 1
Multiplying by 9 gives ...
3x +y = 9
This can be rearranged to the slope-intercept form ...
y = -3x +9
_____
The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.
Answer:
because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9
Step-by-step explanation:
Each of the four sides of a swimming pool measures 12 meters the pool is 6 meters deep how much water will be needed to fill it completely
It will need 864 meters³ of water to fill it completely
Step-by-step explanation:
The formula of the volume of a prism is V = B h, where
B is the area of its baseh is the length of its heightThe swimming pool is shaped a prism
∵ The length of each side of the four sides is 12 meters
- That means its base is shaped a square with side length 12 meters
∵ Area of a square = (side)²
∴ The area of the base of the swimming pool = (12)² = 144 meters²
∴ B = 144
∵ The pool is 6 meters deep
- That means its height is 6 meters
∴ h = 6
The volume of the water in the swimming pool is equal to the volume of the swimming pool because it will be needed to fill completely
∴ The volume of the water = B h
∴ The volume of the water = 144(6)
∴ The volume of the water = 864 meters³
It will need 864 meters³ of water to fill it completely
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2. What can you conclude about two triangles when you know that two pairs of
corresponding sides and the corresponding included angles are congruent?
We can conclude that, if two pairs of corresponding sides and the corresponding included angles are congruent, the two triangles will be congruent.
Given that, two pairs of corresponding sides and the corresponding included angles are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
If two pairs of corresponding sides are equal and corresponding included angles are equal.
By SAS congruence theorem, two triangles are congruent.
Therefore, we can conclude that, if two pairs of corresponding sides and the corresponding included angles are congruent, the two triangles will be congruent.
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The stock of Company A gained 4% today to $47.84. What was the opening price of the stock in the beginning of the day?
Answer:
46
Step-by-step explanation:
47.84 / 1.04, which is 46
The opening price of Company A's stock before the 4% increase to the closing price of $47.84 was $46.00.
To calculate the opening price of Company A's stock at the beginning of the day, before the 4% gain, we need to work backwards from the closing price. Since the stock closed at $47.84 after gaining 4%, we can represent the closing price as 104% of the opening price. Thus, the equation to find the opening price (OP) is:
OP x1.04 = $47.84
Now we solve for OP:
OP = $47.84 / 1.04
OP = $46.00
The opening price of Company A's stock at the beginning of the day was $46.00.
Find the area of the figure.
triangle with base 27.5 m and height 4.8 m
Answer:66
Step-by-step explanation:
27.5x4.8/2
Answer:
66 meters squared
Step-by-step explanation:
You multiply 27.5 and 4.8. Which gets you 132. And because your finding the area of a triangle you have to divide 132 by 2 which gets you 66.
Albert rode to the park at 12 mph and then back home at 20 mph. If the round trip took 4 hours and it is 30 miles each way, how long did the ride to the park take?
Answer:
It took Albert 2 1/2 hours to ride to the park
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed of Albert to the park = 12 mph
Speed of Albert back home = 20 mph
Total time of the round trip = 4 hours
Distance each way = 30 miles
2. How long did the ride to the park take?
Let's recall that the formula of speed is:
Speed = Distance/Time, therefore Time = Distance/Speed
Time it took Albert to ride to the park = 30/12
Time it took Albert to ride to the park = 5/2 = 2 1/2 hours
Time it took Albert to ride back home = 30/20
Time it took Albert to ride back home = 3/2 = 1 1/2 hours
It took Albert 2 1/2 hours to ride to the park
Does the bowling ball have more potential energy or kinetic energy as it sit on top of the building? Why?
Answer:
The bowling ball has only potential energy as it sits on top of a building.
The potential energy "stored" in the bowling ball will convert to kinetic energy as the ball is pushed from the top of the building and starts to fall.
The energy spent in raising the ball against gravity to the top of the building is equal to the amount of potential energy "stored" in the bowling ball.
Therefore the bowling ball will have more potential energy as it sits on top of the building.
Step-by-step explanation:
The bowling ball has only potential energy as it sits on top of a building.
The potential energy "stored" in the bowling ball will convert to kinetic energy as the ball is pushed from the top of the building and starts to fall.
The energy spent in raising the ball against gravity to the top of the building is equal to the amount of potential energy "stored" in the bowling ball.
Therefore the bowling ball will have more potential energy as it sits on top of the building.
Answer:
Before the ball hits the ground it has more potential energy but when is going down it looses potential energy and creates kinetic energy so when the ball hits the floor it would have more kinetic energy.
Step-by-step explanation:
If the circumference of each tire on a vehicle is approximately 88 in., how many miles will the vehicle travel when the tires make
23
23,000 revolutions?
Answer:
31.94 miles
Step-by-step explanation:
we know that
The circumference of a tire represents the distance traveled by the vehicle in one revolution
so
by proportion
Find out the distance traveled by the vehicle in 23,000 revolutions
[tex]\frac{88}{1}\ \frac{in}{rev}=\frac{x}{23,000}\ \frac{in}{rev}\\\\x=88(23,000)\\\\x=2,024,000\ in[/tex]
Convert inches to miles
Remember that
[tex]1\ mile=63,360\ inches[/tex]
To convert inches to miles divided by 63,360
therefore
[tex]2,024,000\ in=2,024,000/63,360=31.94\ miles[/tex]